Solve the problem.The volume of a rectangular box with square base and a height of 5 feet is V(x) = 5x2, where x is the length of a side of the base. Find the instantaneous rate of change of volume with respect to x when x = 3 feet.
A. 6 ft3/ft
B. 30 ft3/ft
C. 15 ft3/ft
D. 45 ft3/ft
Answer: B
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Determine whether the points A, B, and C form a right triangle.A = (-8, 3); B = (-5, 3); C = (-5, 12)
A. Yes B. No
Eleni, who is now 55 years old, is employed by a firm that guarantees her a pension of $90,000/year at age 70. What is the present value of her first year's pension if inflation over the next 15 year(s) is at the given rate. Assume that inflation is continuously compounded. Round your answer to the nearest cent. ? 6% _________ ? 9% _________ ? 18% _________ ?
A. $64,219.68, $71,866.46, $6,048.50 B. $36,591.27, $23,331.62, $6,048.50 C. $57,386.53, $64,219.68, $6,048.50 D. $57,386.53, $64,219.68, $71,866.46
Given a normal distribution with mean 120 and standard deviation 5, find the number of standard deviations the measurement is from the mean. Express the answer as a positive number.134.9
A. 2.98 B. 2.18 C. 3.25 D. 3.02
Add or subtract as indicated.11
- 15
A. 26
B. -4
C. -25
D. 3